Abstract
This article deals with the existence and uniqueness of pseudo almost periodic (mild) solutions to the class of partial evolution equations where A is a sectorial operator on a Banach space , which is not necessarily densely defined and (hyperbolic), B is a linear operator on , and is pseudo almost periodic with being an abstract intermediate Banach space. Under some appropriate assumptions, we obtain the existence and uniqueness of such solutions in . An application to semilinear transport-like equations is given.
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